{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "06_GAN_double_moon_colab.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "toc_visible": true,
      "include_colab_link": true
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.6.6"
    },
    "kernelspec": {
      "display_name": "Python [conda env:pytorch]",
      "language": "python",
      "name": "conda-env-pytorch-py"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/mlelarge/dataflowr/blob/master/CEA_EDF_INRIA/06_GAN_double_moon_colab.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vjjWPrehQq2f",
        "colab_type": "text"
      },
      "source": [
        "# Generative Adversarial Networks\n",
        "\n",
        "In this notebook, we play with the GAN described in the [course](https://mlelarge.github.io/dataflowr-slides/Slides/GAN/index.html) on a double moon dataset.\n",
        "\n",
        "Then we implement a Conditional GAN and an InfoGAN."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "11loN_KhQq2h",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# all of these libraries are used for plotting\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Plot the dataset\n",
        "def plot_data(ax, X, Y, color = 'bone'):\n",
        "    plt.axis('off')\n",
        "    ax.scatter(X[:, 0], X[:, 1], s=1, c=Y, cmap=color)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BJaazazFQq2l",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from sklearn.datasets import make_moons\n",
        "X, y = make_moons(n_samples=2000, noise=0.05)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tuN8exxyQq2q",
        "colab_type": "code",
        "outputId": "4b0d5b75-13de-4a2a-fa7e-a436b01e0e2c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "n_samples = X.shape[0]\n",
        "Y = np.ones(n_samples)\n",
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "\n",
        "plot_data(ax, X, Y)\n",
        "plt.show()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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U19yUGuu3uMpxla5karQDuUr/psMtJ2OyF2BIL8Cev/Ckcw5niimjmLzqjadM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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a6v3mQfQQq2w",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import torch\n",
        "use_gpu = torch.cuda.is_available()\n",
        "def gpu(tensor, gpu=use_gpu):\n",
        "    if gpu:\n",
        "        return tensor.cuda()\n",
        "    else:\n",
        "        return tensor"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "f_gXNJRMQq2z",
        "colab_type": "text"
      },
      "source": [
        "# A simple GAN\n",
        "\n",
        "We start with the simple GAN described in the course."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7_IuhU4OQq20",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import torch.nn as nn\n",
        "\n",
        "z_dim = 32\n",
        "hidden_dim = 128\n",
        "\n",
        "net_G = nn.Sequential(nn.Linear(z_dim,hidden_dim),\n",
        "                     nn.ReLU(), nn.Linear(hidden_dim, 2))\n",
        "\n",
        "net_D = nn.Sequential(nn.Linear(2,hidden_dim),\n",
        "                     nn.ReLU(),\n",
        "                     nn.Linear(hidden_dim,1),\n",
        "                     nn.Sigmoid())\n",
        "\n",
        "net_G = gpu(net_G)\n",
        "net_D = gpu(net_D)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cV9S8Tw9Qq24",
        "colab_type": "text"
      },
      "source": [
        "Training loop as described in the course, keeping the losses for the discriminator and the generator."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BOQnI3BkQq25",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "batch_size = 50\n",
        "lr = 1e-4\n",
        "nb_epochs = 1000\n",
        "\n",
        "optimizer_G = torch.optim.Adam(net_G.parameters(),lr=lr)\n",
        "optimizer_D = torch.optim.Adam(net_D.parameters(),lr=lr)\n",
        "\n",
        "loss_D_epoch = []\n",
        "loss_G_epoch = []\n",
        "for e in range(nb_epochs):\n",
        "    np.random.shuffle(X)\n",
        "    real_samples = torch.from_numpy(X).type(torch.FloatTensor)\n",
        "    loss_G = 0\n",
        "    loss_D = 0\n",
        "    for t, real_batch in enumerate(real_samples.split(batch_size)):\n",
        "            #improving D\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        fake_batch = net_G(z)\n",
        "        D_scores_on_real = net_D(gpu(real_batch))\n",
        "        D_scores_on_fake = net_D(fake_batch)\n",
        "            \n",
        "        loss = -torch.mean(torch.log(1-D_scores_on_fake) + torch.log(D_scores_on_real))\n",
        "        optimizer_D.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer_D.step()\n",
        "        loss_D += loss\n",
        "                    \n",
        "            # improving G\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        fake_batch = net_G(z)\n",
        "        D_scores_on_fake = net_D(fake_batch)\n",
        "            \n",
        "        loss = -torch.mean(torch.log(D_scores_on_fake))\n",
        "        optimizer_G.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer_G.step()\n",
        "        loss_G += loss\n",
        "           \n",
        "    loss_D_epoch.append(loss_D)\n",
        "    loss_G_epoch.append(loss_G)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "y-n8FyUWQq28",
        "colab_type": "code",
        "outputId": "7be34960-64b1-4bc6-de34-5c1a967dc250",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        }
      },
      "source": [
        "plt.plot(loss_D_epoch)\n",
        "plt.plot(loss_G_epoch)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb9ad43ab38>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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WGCoKnZIYeVJXZ97HWC1Q8hiGKw1rueioBU3Z0j22bkheQEoWqTeFr1bIesj5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\nRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Lry_pUAgQq3A",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "z = gpu(torch.empty(n_samples,z_dim).normal_())\n",
        "fake_samples = net_G(z)\n",
        "fake_data = fake_samples.cpu().data.numpy()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x91JLigbQq3D",
        "colab_type": "code",
        "outputId": "2740d68b-7d0a-478b-9c40-a68568e076e7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "all_data = np.concatenate((X,fake_data),axis=0)\n",
        "Y2 = np.concatenate((np.ones(n_samples),np.zeros(n_samples)))\n",
        "plot_data(ax, all_data, Y2)\n",
        "plt.show();"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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TQVy4mjfvn0/O2DDEYgkxWecSmT6PolYFf1i5io/++iemzbsQh91GUFDQCdtgs5iQuikR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\nmAAAAAZJREFU/wvRZ6ayraBJiwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MAotTqPRQq3G",
        "colab_type": "text"
      },
      "source": [
        "It looks like the GAN is oscillating. Try again with lr=1e-3"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AWFz3u-IQq3H",
        "colab_type": "text"
      },
      "source": [
        "We can generate more points:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ARf29UCyQq3I",
        "colab_type": "code",
        "outputId": "c6600b7a-fbb7-4b2a-d312-5141259c75a3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "z = gpu(torch.empty(10*n_samples,z_dim).normal_())\n",
        "fake_samples = net_G(z)\n",
        "fake_data = fake_samples.cpu().data.numpy()\n",
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "all_data = np.concatenate((X,fake_data),axis=0)\n",
        "Y2 = np.concatenate((np.ones(n_samples),np.zeros(10*n_samples)))\n",
        "plot_data(ax, all_data, Y2)\n",
        "plt.show();"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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bYMn0TA5VduHxBTlc3Y0xQsOf3ziIVqPk5ffL2Ly/iaLceApz4nj/kxo272+i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\nrkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_v3oo0rwQq3L",
        "colab_type": "text"
      },
      "source": [
        "# Conditional GAN\n",
        "\n",
        "We are now implementing a [conditional GAN](https://arxiv.org/abs/1411.1784).\n",
        "\n",
        "We start by separating the two half moons in two clusters as follows:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-A1NdzdYQq3M",
        "colab_type": "code",
        "outputId": "f25ebea4-abc1-4c2c-8182-e819ae5bcb71",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "X, Y = make_moons(n_samples=2000, noise=0.05)\n",
        "n_samples = X.shape[0]\n",
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "plot_data(ax, X, Y)\n",
        "plt.show()"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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FBCmjfQ1IZUryZ11OevEi0grn07j9SZw9R5h92e2kFy+cVE/nZEa6jzLQuofU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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Yiyjy8sdQq3Q",
        "colab_type": "text"
      },
      "source": [
        "The task is now given a white or black label to generate points in the corresponding cluster.\n",
        "\n",
        "Both the generator and the discriminator take in addition a one hot encoding of the label. The generator will now generate fake points corresponding to the input label. The discriminator, given a pair of sample and label should detect if this is a fake or a real pair."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P_YhYT5cQq3R",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "z_dim = 32\n",
        "hidden_dim = 128\n",
        "label_dim = 2\n",
        "\n",
        "\n",
        "class generator(nn.Module):\n",
        "    def __init__(self,z_dim = z_dim, label_dim=label_dim,hidden_dim =hidden_dim):\n",
        "        super(generator,self).__init__()\n",
        "        self.net = nn.Sequential(nn.Linear(z_dim+label_dim,hidden_dim),\n",
        "                     nn.ReLU(), nn.Linear(hidden_dim, 2))\n",
        "        \n",
        "    def forward(self, input, label_onehot):\n",
        "        x = torch.cat([input, label_onehot], 1)\n",
        "        return self.net(x)\n",
        "    \n",
        "class discriminator(nn.Module):\n",
        "    def __init__(self,z_dim = z_dim, label_dim=label_dim,hidden_dim =hidden_dim):\n",
        "        super(discriminator,self).__init__()\n",
        "        self.net =  nn.Sequential(nn.Linear(2+label_dim,hidden_dim),\n",
        "                     nn.ReLU(),\n",
        "                     nn.Linear(hidden_dim,1),\n",
        "                     nn.Sigmoid())\n",
        "        \n",
        "    def forward(self, input, label_onehot):\n",
        "        x = torch.cat([input, label_onehot], 1)\n",
        "        return self.net(x)\n",
        "        \n",
        "\n",
        "net_CG = gpu(generator())\n",
        "net_CD = gpu(discriminator())"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lkEr5NEUQq3V",
        "colab_type": "text"
      },
      "source": [
        "You need to code the training loop:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CdaV-fRBQq3W",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "batch_size = 50\n",
        "lr = 1e-3\n",
        "nb_epochs = 1000\n",
        "\n",
        "optimizer_CG = torch.optim.Adam(net_CG.parameters(),lr=lr)\n",
        "optimizer_CD = torch.optim.Adam(net_CD.parameters(),lr=lr)\n",
        "loss_D_epoch = []\n",
        "loss_G_epoch = []\n",
        "for e in range(nb_epochs):\n",
        "    rperm = np.random.permutation(X.shape[0]);\n",
        "    np.take(X,rperm,axis=0,out=X);\n",
        "    np.take(Y,rperm,axis=0,out=Y);\n",
        "    real_samples = torch.from_numpy(X).type(torch.FloatTensor)\n",
        "    real_labels = torch.from_numpy(Y).type(torch.LongTensor)\n",
        "    loss_G = 0\n",
        "    loss_D = 0\n",
        "    for real_batch, real_batch_label in zip(real_samples.split(batch_size),real_labels.split(batch_size)):\n",
        "            #improving D\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        #\n",
        "        # your code here\n",
        "        # hint: https://discuss.pytorch.org/t/convert-int-into-one-hot-format/507/4\n",
        "        #\n",
        "        label = torch.LongTensor(batch_size,1).random_() % label_dim\n",
        "        label_onehot = torch.FloatTensor(batch_size, label_dim).zero_()\n",
        "        label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "        fake_batch = net_CG(z, label_onehot)\n",
        "        D_scores_on_fake = net_CD(fake_batch, label_onehot)\n",
        "        label_onehot = torch.FloatTensor(batch_size, label_dim).zero_()\n",
        "        label_onehot = gpu(label_onehot.scatter_(1, real_batch_label.unsqueeze(1), 1))\n",
        "        D_scores_on_real = net_CD(gpu(real_batch),label_onehot)\n",
        "        #\n",
        "        #\n",
        "        #\n",
        "        \n",
        "        loss = -torch.mean(torch.log(1-D_scores_on_fake) + torch.log(D_scores_on_real))\n",
        "        optimizer_CD.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer_CD.step()\n",
        "        loss_D += loss\n",
        "            \n",
        "            # improving G\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        #\n",
        "        # your code here\n",
        "        #\n",
        "        label = torch.LongTensor(batch_size,1).random_() % label_dim\n",
        "        label_onehot = torch.FloatTensor(batch_size, label_dim).zero_()\n",
        "        label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "        fake_batch = net_CG(z, label_onehot)\n",
        "        D_scores_on_fake = net_CD(fake_batch, label_onehot)\n",
        "        #\n",
        "        #\n",
        "        #\n",
        "            \n",
        "        loss = -torch.mean(torch.log(D_scores_on_fake))\n",
        "        optimizer_CG.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer_CG.step()\n",
        "        loss_G += loss\n",
        "                    \n",
        "    loss_D_epoch.append(loss_D)\n",
        "    loss_G_epoch.append(loss_G)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rfePSB-3Qq3Z",
        "colab_type": "code",
        "outputId": "13855f7e-de6d-4f66-b94c-f0d525d425c8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        }
      },
      "source": [
        "plt.plot(loss_D_epoch)\n",
        "plt.plot(loss_G_epoch)"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb9aba62d68>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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b6N9+cAsAV3znjwPjmtt7+c5/b6U3nSVehM8QEZlMoUjoM8qKn9AH6w/Obrtzw8sAvOtV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\nywAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dRCs9kKBQq3c",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "z = gpu(torch.empty(n_samples,z_dim).normal_())\n",
        "label = torch.LongTensor(n_samples,1).random_() % label_dim\n",
        "label_onehot = torch.FloatTensor(n_samples, label_dim).zero_()\n",
        "label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "fake_samples = net_CG(z, label_onehot)\n",
        "fake_data = fake_samples.cpu().data.numpy()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eGZLxgwKQq3g",
        "colab_type": "code",
        "outputId": "a4f63c7e-ca37-4fc1-d18a-460f1051339f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "plot_data(ax, fake_data, label.squeeze().numpy())\n",
        "plot_data(ax, X, Y, 'spring')\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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TMEBaYxBuiYeS8NPTGEgaW9m94Un8HDNQ+6ioNlUjR84LvIAVK+MsmRho5E3e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\nAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gQST3OM8Qq3m",
        "colab_type": "text"
      },
      "source": [
        "# Info GAN\n",
        "\n",
        "Implement the [algorithm](https://arxiv.org/abs/1606.03657).\n",
        "\n",
        "This time, you do not have access to the labels but you know there are two classes. The idea is then to provide as in the conditional GAN a random label to the generator but in opposition to the conditional GAN, the discriminator cannot take as input the label (since they are not provided to us) but instead the discriminator will predict a label and this predictor can be trained on fake samples!"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4jXzrG6iQq3n",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import torch.nn.functional as F\n",
        "\n",
        "z_dim = 32\n",
        "hidden_dim = 128\n",
        "label_dim = 2\n",
        "\n",
        "\n",
        "class Igenerator(nn.Module):\n",
        "    def __init__(self,z_dim = z_dim, label_dim=label_dim,hidden_dim =hidden_dim):\n",
        "        super(Igenerator,self).__init__()\n",
        "        self.net = nn.Sequential(nn.Linear(z_dim+label_dim,hidden_dim),\n",
        "                     nn.ReLU(), nn.Linear(hidden_dim, 2))\n",
        "        \n",
        "    def forward(self, input, label_onehot):\n",
        "        x = torch.cat([input, label_onehot], 1)\n",
        "        return self.net(x)\n",
        "    \n",
        "class Idiscriminator(nn.Module):\n",
        "    def __init__(self,z_dim = z_dim, label_dim=label_dim,hidden_dim =hidden_dim):\n",
        "        super(Idiscriminator,self).__init__()\n",
        "        self.fc1 = nn.Linear(2,hidden_dim)\n",
        "        self.fc2 = nn.Linear(hidden_dim,1)\n",
        "        self.fc3 = nn.Linear(hidden_dim,1)\n",
        "        \n",
        "    def forward(self, input):\n",
        "        x = F.relu(self.fc1(input))\n",
        "        output = torch.sigmoid(self.fc2(x))\n",
        "        est_label = torch.sigmoid(self.fc3(x)) \n",
        "        return output, est_label\n",
        "        \n",
        "\n",
        "net_IG = gpu(Igenerator())\n",
        "net_ID = gpu(Idiscriminator())"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3MgxSjDJQq3q",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "batch_size = 50\n",
        "lr = 1e-3\n",
        "nb_epochs = 1000\n",
        "loss_fn = nn.BCELoss()\n",
        "\n",
        "optimizer_IG = torch.optim.Adam(net_IG.parameters(),lr=lr)\n",
        "optimizer_ID = torch.optim.Adam(net_ID.parameters(),lr=lr)\n",
        "loss_D_epoch = []\n",
        "loss_G_epoch = []\n",
        "for e in range(nb_epochs):\n",
        "    \n",
        "    rperm = np.random.permutation(X.shape[0]);\n",
        "    np.take(X,rperm,axis=0,out=X);\n",
        "    #np.take(Y,rperm,axis=0,out=Y);\n",
        "    real_samples = torch.from_numpy(X).type(torch.FloatTensor)\n",
        "    #real_labels = torch.from_numpy(Y).type(torch.LongTensor)\n",
        "    loss_G = 0\n",
        "    loss_D = 0\n",
        "    for real_batch in real_samples.split(batch_size):\n",
        "            #improving D\n",
        "        #net_G.train(False)\n",
        "        #net_D.train(True)\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        label = torch.LongTensor(batch_size,1).random_() % label_dim\n",
        "        label_onehot = torch.FloatTensor(batch_size, label_dim).zero_()\n",
        "        label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "        fake_batch = net_IG(z, label_onehot)\n",
        "        \n",
        "        D_scores_on_fake, est_label_on_fake = net_ID(fake_batch)\n",
        "        D_scores_on_real, est_label_on_real = net_ID(gpu(real_batch))\n",
        "        \n",
        "            \n",
        "        lossD = -torch.mean(torch.log(1-D_scores_on_fake) + torch.log(D_scores_on_real))\n",
        "        lossD.add_(loss_fn(est_label_on_fake,gpu(label.type(torch.FloatTensor))))\n",
        "        optimizer_ID.zero_grad()\n",
        "        lossD.backward()\n",
        "        optimizer_ID.step()\n",
        "        loss_D += lossD\n",
        "        #print('D', t, loss)\n",
        "            \n",
        "            # improving G\n",
        "        #net_G.train(True)\n",
        "        #net_D.train(False)\n",
        "        z = gpu(torch.empty(batch_size,z_dim).normal_())\n",
        "        label = torch.LongTensor(batch_size,1).random_() % label_dim\n",
        "        label_onehot = torch.FloatTensor(batch_size, label_dim).zero_()\n",
        "        label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "        fake_batch = net_IG(z, label_onehot)\n",
        "        D_scores_on_fake, est_label_on_fake = net_ID(fake_batch)\n",
        "            \n",
        "        lossG = -torch.mean(torch.log(D_scores_on_fake))\n",
        "        lossG.add_(loss_fn(est_label_on_fake,gpu(label.type(torch.FloatTensor))))\n",
        "        optimizer_IG.zero_grad()\n",
        "        lossG.backward()\n",
        "        optimizer_IG.step()\n",
        "        loss_G += lossG\n",
        "        #print('G', t, loss)\n",
        "       \n",
        "            \n",
        "    loss_D_epoch.append(loss_D)\n",
        "    loss_G_epoch.append(loss_G)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xUV6GtxHQq3s",
        "colab_type": "code",
        "outputId": "fe6ff095-2cc1-4ebf-f8fd-ae6f77bd051b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        }
      },
      "source": [
        "plt.plot(loss_D_epoch)\n",
        "plt.plot(loss_G_epoch)"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb9ab957048>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pcCvv6FxWUsgcV1pHKbX/ShvQRaRMRDpFngOnAwuA54FJzmqTgOfaqpCxwmTX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\nRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y1N3rpLLQq3v",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "z = gpu(torch.empty(n_samples,z_dim).normal_())\n",
        "label = torch.LongTensor(n_samples,1).random_() % label_dim\n",
        "label_onehot = torch.FloatTensor(n_samples, label_dim).zero_()\n",
        "label_onehot = gpu(label_onehot.scatter_(1, label, 1))\n",
        "fake_samples = net_IG(z, label_onehot)\n",
        "fake_data = fake_samples.cpu().data.numpy()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eDpfBXXUQq3y",
        "colab_type": "code",
        "outputId": "8bd5ce24-9f47-4edf-b508-4bdc00d446dd",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        }
      },
      "source": [
        "fig, ax = plt.subplots(1, 1, facecolor='#4B6EA9')\n",
        "#ax.set_xlim(x_min, x_max)\n",
        "#ax.set_ylim(y_min, y_max)\n",
        "plot_data(ax, fake_data, label.squeeze().numpy())\n",
        "plot_data(ax, X, Y, 'spring')\n",
        "plt.show()"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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CvOLJzHN++hs92eXxMzKNmIH3fVEa15KvzmHzuls8THuBlAxb1q635OjBfPoU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Xy5bSZnLseRnHX1zuDJw7YTHZTB/jNDmb7sS9RWrdipm2locbjqPFudmIHDd7BhkBWa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\nTkIghBAqJyEQQgiV+zt8xUptEOd23QAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5AX4cWd5Qq34",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y_w9ZH85Qq36",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}